What is the solution to the following system of equations?

Answer:

3 cycles

Step-by-step explanation:

in one period, you have one full cycle

because the period for this function is 4pi, you have one cycle per 4pi

if you have a total of 12pi, you would have 3 cycles (12pi/4pi=3)

hope this helps!

Answer:

1. 3

2. horizontal stretch

3. A.

Step-by-step explanation:

Answer:

Graph C

Step-by-step explanation:

y + 2 = 3x - 3

y = 3x - 5

Graph C touches (0,-5) and no other graphs do.

Tina will need 64 cardboard building blocks to build the wall.

Step 1: Convert all measurements to inches.

The thickness of the wall is already 4 inches.

The height of the wall is 3 feet. Since 1 foot = 12 inches, then:

[tex]3 \text{ feet} = 3 \times 12 \text{ inches} = 36 \text{ inches}[/tex]

The length of the wall is 12 feet. Therefore:

[tex]12 \text{ feet} = 12 \times 12 \text{ inches} = 144 \text{ inches}[/tex]

Step 2: The volume of a rectangular wall can be found using the

formula:

[tex]\text{Volume} = \text{Length} \times \text{Height} \times \text{Thickness}[/tex]

Substituting the values:

[tex]\text{Volume} = 144 \text{ inches} \times 36 \text{ inches} \times 4 \text{ inches}[/tex]

[tex]\text{Volume} = 20736 \text{ cubic inches}[/tex]

Step 3: The dimensions of the block are 9 inches x 9 inches x 4 inches,

so:

[tex]\text{Volume}_{\text{block}} = 9 \text{ inches} \times 9 \text{ inches} \times 4 \text{ inches}[/tex]

[tex]\text{Volume}_{\text{block}} = 324 \text{ cubic inches}[/tex]

Step 4: To find out how many blocks are needed for the wall, divide the

total volume of the wall by the volume of one block:

[tex]\text{Number of blocks} = \frac{\text{Volume of wall}}{\text{Volume of one block}}[/tex]

[tex]\text{Number of blocks} = \frac{20736 \text{ cubic inches}}{324 \text{ cubic inches}}[/tex]

[tex]\text{Number of blocks} = 64[/tex]

Answer:

Option D. [tex]y=-4x^{2} -16x-12[/tex]

Step-by-step explanation:

using a graphing tool

Graph and determine the vertex in each case

we know that

If the equation has a maximum value at x=-2, then the x-coordinate of the vertex must be  equal to -2 and the parabola open downward

case A) [tex]y=-x^{2} -20x-16[/tex]

The vertex is the point [tex](-10,84)[/tex]

case B) [tex]y=-x^{2} -16x-12[/tex]

The vertex is the point [tex](-8,52)[/tex]

case C) [tex]y=-4x^{2} -20x-16[/tex]

The vertex is the point [tex](-2.5,9)[/tex]

case D) [tex]y=-4x^{2} -16x-12[/tex]

The vertex is the point [tex](-2,4)[/tex] -------> is the answer

see the attached figure

The equation with a maximum value at x = -2 is D) y = -4x^2 - 16x - 12, determined by finding the vertex of each quadratic equation and identifying the one with the vertex x-coordinate at -2.

The given equations are all in quadratic form, which can have a maximum value at their vertex point if the leading coefficient is negative. To find the equation that has a maximum value at x = -2, we need to put the equations in vertex form, which is y = a(x - h)^2 + k, where (h, k) is the vertex. By transforming the given equations, we seek the equation that has its vertex at x = -2. This is done by completing the square or using the formula h = -b/(2a) to find the x-coordinate of the vertex.

Let's apply the formula h = -b/(2a) to each equation:

Therefore, the correct equation with a maximum value at x = -2 is D) y = -4x^2 - 16x - 12.

The correct answer is 36.

Answer:

6. decrease / 19.68 ,5. increase / 4.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

A square

Answer:

[tex]\boxed{\bold{15x-6}}[/tex]

Step By Step Explanation:

Expand [tex]\bold{-3\left(2-3x\right)}[/tex]

[tex]\bold{-6+9x}[/tex]

Rewrite Equation

[tex]\bold{6x-6+9x}[/tex]

Simplify [tex]\bold{6x-6+9x}[/tex]

[tex]\bold{15x-6}[/tex]

➤ [tex]\boxed{\bold{Mordancy}}[/tex]

Answer:

d 8/7

Step-by-step explanation:

8 * -2 * -1

     ----  ----

     7      2

Multiply the numerators

8*-2*-1 = 16

Multiply the denominators

7*2 =14

Put the numerator over the denominator

16/14

Both the numerator and the denominator can be divided by 2

8/7

Answer:

8.75 hours

Step-by-step explanation:

120 miles in 3 hours = 40 mph

350 divided by 40 = 8.75

Answer:

36π cm³

Step-by-step explanation:

The volume (V) of a sphere is calculated using the formula

V = [tex]\frac{4}{3}[/tex]πr³ ← r is the radius = 3

V = [tex]\frac{4}{3}[/tex]π × 3³

  = [tex]\frac{4}{3}[/tex]π × 27

  = 4π × 9 ( cancelling the 3 and 27 )

  = 36π cm³

Here is your answer

B) [tex]36×pi[/tex] [tex]{cm}^{3}[/tex]

REASON:

We know that,

Volume of sphere= [tex] 4/3 pi×{r}^{3} [/tex]

Here r= 3cm

So, V= [tex] 4/3 × pi× {3}^{3} cm^3 [/tex]

= [tex] 4×pi × {3}^{2} cm^3 [/tex]

= [tex] 4×9× pi cm^3 [/tex]

= [tex] 36× pi cm^3 [/tex]

HOPE IT IS USEFUL

Answer:

the answer is 47

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

results 0=-7 which is not true

There are no solutions because the two lines are parallel and have different y-intercepts, so they will never intersect each other.

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0 , 4) and (x₂, y₂ ) = (4, 10)

m = [tex]\frac{10-4}{4-0}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

note the line passes through (0, 4) ⇒ c = 4

y = [tex]\frac{3}{2}[/tex] x + 4 ← equation of line → D

➷ Opposite angles in a cyclic quadrilateral total to 180 degrees

180 - 80 = 100

w = 100 degrees

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

16 and 5 are the factors

Answer: 5 and 16

Step-by-step explanation:

Because 5 plus 16 is 21.

               then 5 times 16 is 80

Answer:

88.5

Step-by-step explanation:

Slope intercept form:

y=mx+b

Right now we have:

-y=4-x

x=1 because it’s not being multiplied by anything

y-intercept = 4 because it’s what you’re adding

Then we just need to move 4 to the other side of “x”

And with that, we conclude with a line in slope intercept form:

-y=x-4

It’s a negative 4 and a positive x, because you’re supposed to do the opposite

If it’s a negative, you add. If it’s a positive, you subtract.

Answer:

Step-by-step explanation:

Unfortunately, your π2 is improperly formed.  I will assume that you actually meant π² ("pi squared").

Then the three numbers are 99, 9.87, 9.8.

Smallest:  9.8

Largest"  99 (did you mean 9.9?)

Under the assumptions I have made, the numbers, in increasing order, are 9.8, 9.87, 99

Answer:

From least to greatest, the numbers are  [tex]99,\ \pi^2,\ 9.8[/tex]

Step-by-step explanation:

Given : The numbers are [tex]99,\ \pi^2,\ 9.8[/tex]

To find : Order the numbers from least to greatest ?

Solution :

Writing all numbers in same from,

We know, [tex]\pi=3.14[/tex]

[tex]\pi^2=(3.141)^2=9.86[/tex]

Numbers are [tex]99,\ 9.86,\ 9.8[/tex]

The least number is 9.8.

The greatest number is 99.

From least to greatest, the numbers are   [tex]9.8,\ 9.86,\ 99[/tex]

or [tex]99,\ \pi^2,\ 9.8[/tex]

Answer:

[tex]\large\boxed{D)\ \left(-\dfrac{1}{3},\ -\dfrac{22}{9}\right)}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}\dfrac{2}{3}x-\dfrac{1}{2}y=1&\text{multiply both sides by 6}\\\dfrac{1}{4}x+\dfrac{3}{8}y=-1&\text{multiply both sides by 8}\end{array}\right\\\left\{\begin{array}{ccc}6\!\!\!\!\diagup^2\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x-6\!\!\!\!\diagup^3\cdot\dfrac{1}{2\!\!\!\!\diagup_1}y=6\cdot1\\8\!\!\!\!\diagup^2\cdot\dfrac{1}{4\!\!\!\!\diagup_1}x+8\!\!\!\!\diagup^1\cdot\dfrac{3}{8\!\!\!\!\diagup_1}y=8\cdot(-1)\end{array}\right[/tex]

[tex]\underline{+\left\{\begin{array}{ccc}4x-3y=6\\2x+3y=-8\end{array}\right}\qquad\text{add both saides of the equations}\\.\qquad6x=-2\qquad\text{divide both sides by 6}\\.\qquad x=-\dfrac{2}{6}\\\\.\qquad\boxed{x=-\dfrac{1}{3}}\\\\\text{Put the value of x to the second equation:}\\\\2\left(-\dfrac{1}{3}\right)+3y=-8\\\\-\dfrac{2}{3}+3y=-8\qquad\text{add}\ \dfrac{2}{3}\ \text{to both sides}\\\\3y=-\dfrac{24}{3}+\dfrac{2}{3}[/tex]

[tex]3y=-\dfrac{22}{3}\qquad\text{divide both sides by 3}\ /multiply\ both\ sides\ by\ \frac{1}{3}/\\\\\boxed{y=-\dfrac{22}{9}}[/tex]

For 1 year Jeff pays $1200.

For 6 years he pays 7200 / 6 = 1200 per year.

For 9 years he pays 10800 / 9 = 1200 per year.

Jeff's unit rate is $1,200 per year.

Daniel pays $1,150 per year.

150 is less than 1200, so the answer would be:

A.  Daniel's unit rate is lower. It is $1,150 per year.

Answer:

View the picture for your answer!

Have a great day.

Answer:

Yes. a rotation about point c

Step-by-step explanation:

just answered it.

A rigid transformation is a transformation that preserves the shape and size of an object. It includes translations, rotations, and reflections. Without specific information about the coordinates or measurements of the triangles, it is not possible to determine if a rigid transformation exists.

A rigid transformation is a transformation that preserves the shape and size of an object. It includes translations, rotations, and reflections. In order for triangle ΔABC to be mapped to triangle ΔDEC, there must be a combination of translations, rotations, and reflections that can bring the two triangles into congruence.

However, without specific information about the coordinates or measurements of the vertices of the triangles, it is not possible to accurately determine if a rigid transformation exists that can map ΔABC to ΔDEC.

Answer:  B. 0, 2

Step-by-step explanation:

x² - 2x = 0

x(x - 2) = 0                          Factored the left side

x = 0   and    x - 2 = 0         Applied the Zero Product Property

                     x = 2              Solved the remaining equation

Therefore, x = 0 and x = 2

Answer:

He spent 35 minutes swimming each day.

Step-by-step explanation:

10x5=50

The multiply by 5 is the numbers of days.

225-50=175

(The 50 minutes subtracted is the time Devon walked)

175 divided by 5 = 35

He spent 35 minutes swimming

Confirm/Check    

35 times 5 =175

( Again, The multiply by 5 is the 5 days.)

175+50= 225

Therefore, He swam 35 minutes each day and walked 10 minutes each day.

He swam 175 minutes in total and walked 50 minutes in total

Hoped This Helped!

The number of minutes Devon swam each day is

The word problems must be thoroughly read and understood. Then we can use the given data to make the equations.

He exercised for a total of 225 minutes in the last week.

It is also given that he exercised the amount each day for 5 days.

Therefore, the total number of minutes of exercise per day = 225/5

= 45 minutes.

It is given that he spends 10 minutes everyday walking.

Therefore the total number of time Devon spend swimming = 45 - 10

= 35 minutes

Therefore, we have found that the number of minutes Devon swam each day is 35 minutes.

Learn more about word problems here: https://brainly.com/question/13818690

#SPJ2

We use the vertical side as the base: it is a vertical segment, so it's length is the difference of the y coordinates of its endpoints:

[tex] b = y_2-y_1[/tex]

The height would be the segment starting from [tex](x_3,y_3)[/tex], perpendicular to the base. Since this is a horizontal segment, its length is the difference of the x coordinates of its endpoints:

[tex]h = x_3-x_1[/tex]

So, the area is given by

[tex]A = \dfrac{bh}{2} = \dfrac{(y_2-y_1)(x_3-x_1)}{2}[/tex]

Answer:

A = 18

Step-by-step explanation:

Drop a perpendicular from (x₃, y₃) to point A on the opposite side.

The vertical line containing A is the base of the triangle, and the horizontal line is its height,

The formula for the area of a triangle is  

A = ½bh

b = y₂ - y₁ = 6

h = x₃ - x₁ = 6

A = ½ × 6 × 6 = 18

The area of the triangle is 18.

1/2 of 1/3 of 1/4 of 80ft

= 1/2 of 1/3 of (1/4 of 80ft)

= 1/2 of 1/3 of 20ft

= 1/2 of (1/3 of 20ft)

= 1/2 of (20/3) ft

= 20/6 ft

> 18/6 ft

= 3ft

So the order was longer than 3 feet.

Answer and Explanation :

To find : What is the phase shift of a periodic function?

Solution :

The Phase shift is defined as a horizontal shift in a function in any direction.

Horizontal stretches will change the period of the function and that horizontal shift is called a phase shift or the amount of shift in a wave horizontally.

The phase shift is measured in degrees.

Refer the attached figure below for the pictorial representation of teh phase shift.

In the figure, [tex]\frac{\pi }{2} \text{ to } \pi[/tex] is showing the phase shift.

Example - Taking a general example of sin function

[tex]y = A \sin(B(x + C)) + D[/tex]

In this the phase shift is at C (positive is to the left).

Answer:

[tex]y=40,500(1.038^{x})[/tex]

Step-by-step explanation:

Let

x----> the time in years

y----> the population

we know that

[tex]100\%+3.8\%=103.8\%=103.8/100=1.038[/tex]

so

[tex]y=40,500(1.038^{x})[/tex]

Final answer:

For Krystal City's population of 40,500 increasing at 3.8% annually, the function is [tex]P(t) = 40500(1 + 0.038)^{t[/tex].

Explanation:

A population function can be represented as:

[tex]P(t) = P_0(1 + r)^{t[/tex]

Where:

For Krystal City with a population of 40,500 and a growth rate of 3.8% annually, the function would be:

[tex]P(t) = 40500(1 + 0.038)^{t[/tex]

Answer:

Use the distributive property to solve this equation: a(-b - c) = -ab - ac

Step-by-step explanation:

1. 0.5(-12p - 4) =

-6p - 2 is the answer.

Hope this helped!!!!

~Shane

Final answer:

The expression 0.5(-12p - 4) simplifies to -6p - 2 by distributing the 0.5 across each term inside the parentheses, resulting in the multiplication of -12p by 0.5 to get -6p, and -4 by 0.5 to get -2.

Explanation:

The expression 0.5(-12p - 4) can be simplified by distributing the 0.5 across the terms inside the parentheses. This is done by multiplying 0.5 by each term in the parentheses individually. The steps are as follows:

Multiply 0.5 by -12p, which gives us -6p.

Multiply 0.5 by -4, which gives us -2.

Combine these results to get the simplified expression, which is -6p - 2.

Therefore, 0.5(-12p - 4) equals -6p - 2.

Look at the picture.

The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.

x-intercept (-250, 0)

y-intercept (0, 100)